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Finding the Fourth Proportional to 215.23, 322.86 and 70.97

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Solution

The fourth proportional to 215.23, 322.86 and 70.97 is: 106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.23 : 322.86 = 70.97 : x
  2. Step 2: Convert to fraction form
    215.23/322.86 = 70.97/x
  3. Step 3: Cross multiply
    215.23x = 322.86 × 70.97
  4. Step 4: Simplify right side
    215.23x = 22,913.37
  5. Step 5: Solve for x
    x = 22,913.37/215.23
  6. Step 6: Final answer
    x = 106.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.